230066642400 has 432 divisors, whose sum is σ = 874466530560. Its totient is φ = 52385356800.

The previous prime is 230066642371. The next prime is 230066642401. The reversal of 230066642400 is 4246660032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230066642401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31865991 + ... + 31873209.

It is an arithmetic number, because the mean of its divisors is an integer number (2024228080).

Almost surely, 2^230066642400 is an apocalyptic number.

230066642400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230066642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437233265280).

230066642400 is an abundant number, since it is smaller than the sum of its proper divisors (644399888160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230066642400 is a wasteful number, since it uses less digits than its factorization.

230066642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7527 (or 7507 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 230066642400 in words is "two hundred thirty billion, sixty-six million, six hundred forty-two thousand, four hundred".